Pith Number

pith:WDHXA6NR

pith:2013:WDHXA6NRSN3INOSIWI5N4KO6NY

not attested not anchored not stored refs pending

Integral expression for a topological charge in the Faddeev-Niemi non-linear sigma model

Marcin Kisielowski

arxiv:1311.2060 v1 · 2013-11-08 · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WDHXA6NRSN3INOSIWI5N4KO6NY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:07:41.682612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0cf7079b1937686ba48b23ade29de6e038aa89598e877cc481b05759a722a80

Aliases

arxiv: 1311.2060 · arxiv_version: 1311.2060v1 · doi: 10.48550/arxiv.1311.2060 · pith_short_12: WDHXA6NRSN3I · pith_short_16: WDHXA6NRSN3INOSI · pith_short_8: WDHXA6NR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WDHXA6NRSN3INOSIWI5N4KO6NY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b0cf7079b1937686ba48b23ade29de6e038aa89598e877cc481b05759a722a80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae5b72aa89edf73d5ca6a53ce1ae4c40a196d9ed9fe69a94bf4ea9fe83a1c0e4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-11-08T20:33:50Z",
    "title_canon_sha256": "3c6a2c9e39aa2321214a68af711cf68aa9c507b940b8c4a8f4d68e9fe4017de5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2060",
    "kind": "arxiv",
    "version": 1
  }
}